NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.37, sa.1, ss.583-593, 2021 (SCI-Expanded)
In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b-metric space. Also, we prove a Banach-type fixed point theorem and a new fixed point theorem for some self-mappings satisfying fuzzy psi-contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results.